{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x_l, x_r, t = -1, 1, 1\n",
    "dx, dt = 0.025, 0.0025\n",
    "nx = int((x_r - x_l) / dx)\n",
    "nt = int(t / dt)\n",
    "\n",
    "alpha = 1 / np.pi**2\n",
    "beta = alpha * dt / dx**2\n",
    "\n",
    "u = np.zeros((nt + 1, nx + 1))\n",
    "x = np.linspace(x_l, x_r, nx+1)\n",
    "\n",
    "u[0, :] = -np.sin(np.pi*x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(1, nt+1):\n",
    "    for j in range(1, nx):\n",
    "        u[i, j] = u[i-1, j] + beta * (u[i-1, j+1] - 2 * u[i-1, j] + u[i-1, j-1])\n",
    "    u[i, 0], u[i, -1] = 0, 0\n",
    "u_ref = -np.exp(-t) * np.sin(np.pi * x)\n",
    "error = np.abs(u_ref - u[-1, :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 4), dpi=100)\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(x, u_ref, \"k-\", linewidth=1.0, label=\"Solution\")\n",
    "plt.scatter(x, u[-1, :], facecolor=\"none\", edgecolor=\"blue\", s=20, linewidths=0.5, label=\"FTCS\")\n",
    "plt.xlabel(\"$x$\")\n",
    "plt.ylabel(\"$u$\")\n",
    "plt.title(\"Solution field\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.scatter(x, error, facecolor=\"none\", edgecolor=\"red\", s=20, linewidths=0.5)\n",
    "plt.ylabel(r\"$\\epsilon$\")\n",
    "plt.xlabel(\"$x$\")\n",
    "plt.title(\"Discretization error\")\n",
    "plt.tight_layout()\n",
    "plt.ticklabel_format(axis='y', style='sci', scilimits=(-4,-4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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